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Representation Theory and Complex Analysis

Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 (Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze)

Penned By Michael Cowling
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Representation Theory and Complex Analysis

Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 (Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze)

Penned By Michael Cowling
4.85 43,853 Ratings
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Editor's Note:
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups. David Vogan deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support. Nolan Wallach illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement.

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Released April 10, 2008
Identifier (ISBN) 10937421
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Michael Cowling

Michael Cowling writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Michael Cowling lives with their spouse and a very vocal rescue cat.

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